论文标题
在彭罗斯（Penrose）的奇异定理的假设上
On the hypotheses of Penrose's singularity theorem under disformal transformations
论文作者
论文摘要
我们分析了彭罗斯（Penrose）的奇异定理（1965）的假设如何通过对给定时空度量标准的异常转换（定义为光线矢量定义）的作用来改变。特别是，我们研究了无效能量条件的转换以及在这种情况下的封闭捕获表面的存在，以便在背景度量标准和杂物矢量上得出条件，从而确保Penrose定理对非正式指标的有效性。然后，我们解释了如何将此技术应用于静态和球形对称的空间时间。
We analyze how the hypotheses of Penrose's singularity theorem (1965) are modified by the action of disformal transformations (defined in terms of light-like vectors) upon a given space-time metric. In particular, we investigate the transformation of the null energy condition and the existence of closed trapped surfaces in such scenario, in order to derive conditions upon the background metric and the disformal vector that guarantee the validity of Penrose's theorem for disformal metrics. Then, we explain how to apply this technique for static and spherically symmetric space-times in general.
